We look at the division of 1403672 by 629 
Our goal is to divide 1403672 by 629.

Going ahead to step 1:
629 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 629

On to step 2:
When dividing 14 by 629, we get 0 with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Bring next digit (0) of the dividend behind the 14 and repeat the process: 140 / 629

Step 3:
If we divide 140 by 629, we get 0 and a remainder of 140.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 140, we get 140.
Grab the next digit (3) from the dividend, add it to 140, then carry on: 1403 / 629

On to step 4:
The number 629 fits into 1403 2 times, leaving a remainder of 145.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 1258 from 1403 and we're left with 145.
Grab the next digit (6) from the dividend, add it to 145, then carry on: 1456 / 629

Moving on to step 5:
When dividing 1456 by 629, we get 2 with a remainder of 198.
Write down 2 as next digit of the result. 
Result so far: 22.0
If we subtract 1258 from 1456, we get 198.
Bring next digit (7) of the dividend behind the 198 and repeat the process: 1987 / 629

Step 6:
When dividing 1987 by 629, we get 3 with a remainder of 100.
Put 3 as the next digit of the answer. 
Result so far: 223.0
Subtract 1887 from 1987 to get 100.
Include the next digit (2) from the dividend after 100, then repeat: 1002 / 629

Let's proceed to step 7:
If we divide 1002 by 629, we get 1 and a remainder of 373.
Write down 1 as next digit of the result. 
Result so far: 2231.0
Subtract 629 from 1002 to get 373.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3730, and continue the process.

Going ahead to step 8:
The number 629 fits into 3730 5 times, leaving a remainder of 585.
Use 5 as the next digit of our solution. 
Result so far: 2231.5
If we take 3145 away from 3730, we end up with 585.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5850, and continue the process.

Step 9:
The number 629 fits into 5850 9 times, leaving a remainder of 189.
Record the quotient 9 as the next digit in the result. 
Result so far: 2231.59
Deduct 5661 from 5850 and we're left with 189.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1890, and continue the process.

Going ahead to step 10:
If we divide 1890 by 629, we get 3 and a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 2231.593
If we take 1887 away from 1890, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
629 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 2231.593
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
If we divide 300 by 629, we get 0 and a remainder of 300.
The next digit of our result is 0. 
Result so far: 2231.593
Subtract 0 from 300 to get 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Our division results in 2231.593 with a remaining 0.0003.